Tensor Train Low-rank Approximation (TT-LoRA): Democratizing AI with Accelerated LLMs
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Abstract (arXiv)
In recent years, Large Language Models (LLMs) have demonstrated remarkable capabilities across a wide range of natural language processing (NLP) tasks, such as question-answering, sentiment analysis, text summarization, and machine translation. However, the ever-growing complexity of LLMs demands immense computational resources, hindering the broader research and application of these models. To address this, various parameter-efficient fine-tuning strategies, such as Low-Rank Approximation (LoRA) and Adapters, have been developed. Despite their potential, these methods often face limitations in compressibility. Specifically, LoRA struggles to scale effectively with the increasing number of trainable parameters in modern large scale LLMs. Additionally, Low-Rank Economic Tensor-Train Adaptation (LoRETTA), which utilizes tensor train decomposition, has not yet achieved the level of compression necessary for fine-tuning very large scale models with limited resources. This paper introduces Tensor Train Low-Rank Approximation (TT-LoRA), a novel parameter-efficient fine-tuning (PEFT) approach that extends LoRETTA with optimized tensor train (TT) decomposition integration. By eliminating Adapters and traditional LoRA-based structures, TT-LoRA achieves greater model compression without compromising downstream task performance, along with reduced inference latency and computational overhead. We conduct an exhaustive parameter search to establish benchmarks that highlight the trade-off between model compression and performance. Our results demonstrate significant compression of LLMs while maintaining comparable performance to larger models, facilitating their deployment on resource-constraint platforms.
Key facts. Cited by 13 papers in the map (data through 7 Oct 2026). Builds on 25 of its 34 references that are in the map. First posted on arXiv 2 Aug 2024.
Builds on
25 of 34 references.
References · 25
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13 more
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Citing papers per year: 2024: 1; 2025: 8; 2026: 4.
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- 2024Low-Rank Adaptation for Foundation Models: A Comprehensive Reviewcited by 35
- 2025TT-LoRA MoE: Unifying Parameter-Efficient Fine-Tuning and Sparse Mixture-of-Expertscited by 5
- 2025MetaTT: A Global Tensor-Train Adapter for Parameter-Efficient Fine-Tuningcited by 4
- 2025Transformed Low-rank Adaptation via Tensor Decomposition and Its Applications to Text-to-image Modelscited by 3
- 2026Rethinking the Role of Tensor Decompositions in Post-Training LLM Compressioncited by 3
- 2025FedVLM: Scalable Personalized Vision-Language Models through Federated Learningcited by 2
- 2025The Structure of Relation Decoding Linear Operators in Large Language Modelscited by 1
- 2026Artificial Entanglement in the Fine-Tuning of Large Language Modelscited by 1
- 2025LoRA-Edge: Tensor-Train-Assisted LoRA for Practical CNN Fine-Tuning on Edge Devicescited by 0
- 2025Decomposed Trust: Privacy, Adversarial Robustness, Ethics, and Fairness in Low-Rank LLMscited by 0
- 2025Tensor Computing Interface: An Application-Oriented, Lightweight Interface for Portable High-Performance Tensor Network Applicationscited by 0
- 2026Strategic Over-Parameterization for Generalizable Low-Rank Adaptationcited by 0
- 2026ChainDoRA: Tensor-Train Factorized Weight-Decomposed Low-Rank Adaptation for Parameter-Efficient LLM Fine-Tuning8 Sep 2026
- 2026Rethinking the Role of Tensor Decompositions in Post-Training LLM Compression2 Jun 2026
- 2026Strategic Over-Parameterization for Generalizable Low-Rank Adaptation15 May 2026
- 2026Artificial Entanglement in the Fine-Tuning of Large Language Models11 Jan 2026
- 2025Tensor Computing Interface: An Application-Oriented, Lightweight Interface for Portable High-Performance Tensor Network Applications30 Dec 2025
- 2025Decomposed Trust: Privacy, Adversarial Robustness, Ethics, and Fairness in Low-Rank LLMs27 Nov 2025
- 2025LoRA-Edge: Tensor-Train-Assisted LoRA for Practical CNN Fine-Tuning on Edge Devices5 Nov 2025
- 2025The Structure of Relation Decoding Linear Operators in Large Language Models30 Oct 2025
- 2025FedVLM: Scalable Personalized Vision-Language Models through Federated Learning23 Jul 2025
- 2025MetaTT: A Global Tensor-Train Adapter for Parameter-Efficient Fine-Tuning10 Jun 2025
- 2025TT-LoRA MoE: Unifying Parameter-Efficient Fine-Tuning and Sparse Mixture-of-Experts29 Apr 2025
- 2025Transformed Low-rank Adaptation via Tensor Decomposition and Its Applications to Text-to-image Models15 Jan 2025
1 more
- 2024Low-Rank Adaptation for Foundation Models: A Comprehensive Reviewcited by 35
- 2025MetaTT: A Global Tensor-Train Adapter for Parameter-Efficient Fine-Tuningcited by 4
- 2025Transformed Low-rank Adaptation via Tensor Decomposition and Its Applications to Text-to-image Modelscited by 3
- 2025The Structure of Relation Decoding Linear Operators in Large Language Modelscited by 1
- 2026Artificial Entanglement in the Fine-Tuning of Large Language Modelscited by 1
- 2025LoRA-Edge: Tensor-Train-Assisted LoRA for Practical CNN Fine-Tuning on Edge Devicescited by 0
- 2025Decomposed Trust: Privacy, Adversarial Robustness, Ethics, and Fairness in Low-Rank LLMscited by 0
- 2025Tensor Computing Interface: An Application-Oriented, Lightweight Interface for Portable High-Performance Tensor Network Applicationscited by 0
- 2026Strategic Over-Parameterization for Generalizable Low-Rank Adaptationcited by 0
- 2026ChainDoRA: Tensor-Train Factorized Weight-Decomposed Low-Rank Adaptation for Parameter-Efficient LLM Fine-Tuningcited by 0
- 2026ChainDoRA: Tensor-Train Factorized Weight-Decomposed Low-Rank Adaptation for Parameter-Efficient LLM Fine-Tuning8 Sep 2026
- 2026Strategic Over-Parameterization for Generalizable Low-Rank Adaptation15 May 2026
- 2026Artificial Entanglement in the Fine-Tuning of Large Language Models11 Jan 2026
- 2025Tensor Computing Interface: An Application-Oriented, Lightweight Interface for Portable High-Performance Tensor Network Applications30 Dec 2025
- 2025Decomposed Trust: Privacy, Adversarial Robustness, Ethics, and Fairness in Low-Rank LLMs27 Nov 2025
- 2025LoRA-Edge: Tensor-Train-Assisted LoRA for Practical CNN Fine-Tuning on Edge Devices5 Nov 2025
- 2025The Structure of Relation Decoding Linear Operators in Large Language Models30 Oct 2025
- 2025MetaTT: A Global Tensor-Train Adapter for Parameter-Efficient Fine-Tuning10 Jun 2025
- 2025Transformed Low-rank Adaptation via Tensor Decomposition and Its Applications to Text-to-image Models15 Jan 2025
- 2024Low-Rank Adaptation for Foundation Models: A Comprehensive Review31 Dec 2024